967875 has 32 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 492800.

The previous prime is 967873. The next prime is 967877. The reversal of 967875 is 578769.

967875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (967873) and next prime (967877).

It is not a de Polignac number, because 967875 - 2¹ = 967873 is a prime.

Its product of digits (105840) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (967873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10831 + ... + 10919.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2⁹⁶⁷⁸⁷⁵ is an apocalyptic number.

967875 is a deficient number, since it is larger than the sum of its proper divisors (716925).

967875 is a wasteful number, since it uses less digits than its factorization.

967875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 967875 is about 983.8063833906. The cubic root of 967875 is about 98.9174906863.

The spelling of 967875 in words is "nine hundred sixty-seven thousand, eight hundred seventy-five".